Join the military, get a VA loan.
I am VA eligible, but the rate is not 5.75%.
Been there, done that. The rates aren't any better, but if you can afford the payments you can get in for no money down. Even without a seller concession a few thousand in closing costs can get you a house.
And then get moved in less than 2 years and struggle to sell your home... Not everyone in a panic to sell is selling because they got too expensive a home or because they chose the wrong kind of mortgage. Some of us just miscalculated our ability to sell our houses at all.